Nhập môn Tôpô
Bài tập
Tài liệu
Allen Hatcher, chương 1, Nhóm cơ bản (Fundamental group): http://www.math.cornell.edu/~hatcher/AT/ATchapters.html
Steven Weintraub, Differential forms; và David Bachman, Differential Forms: hai tài liệu này viết cho đối tượng sinh viên đại học.
Michael Spivak, Calculus on Manifolds. Các kết quả trong phép tính vi phân hàm nhiều biến
Jeffrey Weeks: The Shape of Space (Lưu hành nội bộ thôi)
Vladimir Arnold (On teaching of mathematics, 1998):
The theorem on the classification of surfaces is a top-class mathematical achievement, comparable with the discovery of America or X-rays. This is a genuine discovery of mathematical natural science and it is even difficult to say whether the fact itself is more attributable to physics or to mathematics. In its significance for both applications and the development of the right Weltanschauung it by far surpasses such “achievements” of mathematics as the proof of Fermat's last theorem or the proof of the fact that any sufficiently large whole number can be represented as the sum of three primes. ...
The theorem on the classification of surfaces should be included in high school mathematics courses (probably, without proof), but for some reason is not even included in university mathematics courses ...